## Linear Operators: General theory |

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Page 212

Let fj, be a finite positive measure defined on the <r-field of

compact metric space S. A set A Q S is said to be covered in the sense of Vitali by

a family of closed sets if each Fe^ has positive ^-measure and there is a positive

...

Let fj, be a finite positive measure defined on the <r-field of

**Borel sets**of acompact metric space S. A set A Q S is said to be covered in the sense of Vitali by

a family of closed sets if each Fe^ has positive ^-measure and there is a positive

...

Page 341

Show that a set K C ba(S, E) is conditionally compact if and only if (i) K is

bounded. ... 22 Let S be a normal topological space and rca(S) the regular

countably additive set functions on the field of

is weakly ...

Show that a set K C ba(S, E) is conditionally compact if and only if (i) K is

bounded. ... 22 Let S be a normal topological space and rca(S) the regular

countably additive set functions on the field of

**Borel sets**in S. Prove that (i) rca(S)is weakly ...

Page 492

In the following, 3d denotes the field of

by the closed sets of S. If fi is a function on 3$ with values in a B-space, then as in

Definition IV. 10. 3, the symbol H^u^iS) denotes the semi-variation of /u over E ...

In the following, 3d denotes the field of

**Borel sets**in S, i.e., the <r-field generatedby the closed sets of S. If fi is a function on 3$ with values in a B-space, then as in

Definition IV. 10. 3, the symbol H^u^iS) denotes the semi-variation of /u over E ...

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

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